Find the number of terms in the series 8,11,14,....95
- 95 is the 30th term of the series
Explanation:
To find the number of terms in the series 8, 11, 14, ....95, we need to calculate the number of terms between 8 and 95 that follow the pattern 3n + 5.
A series of numbers can be represented in mathematical terms as a sequence of terms. In this case, the terms of the sequence are given by the formula:
t_n = 3n + 5
where t_n represents the nth term of the sequence and n is a positive integer.
To find the number of terms in the sequence, we need to find the value of n for which the nth term (t_n) is 95. Substituting 95 for t_n in the formula, we get:
95 = 3n + 5
Solving for n, we get:
n = (95 - 5)/3 = 30
Since n represents a positive integer, the number of terms in the sequence is equal to 30.
Thus, the correct option is D.
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